I Ching hexagrams are encoded decimal numbers. In decimal, the hexagrams are the following 64 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56 57, 58, 59, 60, 61, 62 and 63.
To convert the 64 I Ching hexagrams to decimal numbers, each hexagram is converted to a binary number and then converted from base 2 to base 10.
How to convert I Ching hexagrams to base 2 is explained by King Wen sequence in binary numbers.
To convert the a hexagram to binary numbers, substitute 0 for broken lines and 1 for unbroken line. Example: |¦||¦| is equal to 101101.
Base 10 equivalent of 101101 is derived as follows:
101101 = 1×25 + 1×23 + 1×22 + 1×20
= 1×32 + 1×8 + 1×4 + 1×1
= 32 + 8 + 4 + 1
= 45
The 64 I Ching hexagrams with their corresponding values in decimals are:
63 → ||||||
0 → ¦¦¦¦¦¦
34 → |¦¦¦|¦← 17
58 → |||¦|¦ ← 23
16 → ¦|¦¦¦¦ ← 2
59 → |||¦|| ← 55
56 → |||¦¦¦ ← 7
47 → |¦|||| ← 61
8 → ¦¦|¦¦¦ ← 4
38 → |¦¦||¦ ← 25
48 → ||¦¦¦¦ ← 3
37 → |¦¦|¦| ← 41
1 → ¦¦¦¦¦| ← 32
39 → |¦¦||| ← 57
33 → |¦¦¦¦|
30 → ¦||||¦
18 → ¦|¦¦|¦
45 → |¦||¦|
14 → ¦¦|||¦ ← 28
15 → ¦¦|||| ← 60
5 → ¦¦¦|¦| ← 40
43 → |¦|¦|| ← 53
10 → ¦¦|¦|¦ ← 20
49 → ||¦¦¦| ← 35
62 → |||||¦ ← 31
6 → ¦¦¦||¦ ← 24
22 → ¦|¦||¦ ← 26
46 → |¦|||¦ ← 29
36 → |¦¦|¦¦ ← 9
11 → ¦¦|¦|| ← 52
44 → |¦||¦¦ ← 13
27 → ¦||¦|| ← 54
19 → ¦|¦¦|| ← 50
51 → ||¦¦||
12 → ¦¦||¦¦
42 → |¦|¦|¦ ← 21
63 → ||||||
0 → ¦¦¦¦¦¦
34 → |¦¦¦|¦← 17
58 → |||¦|¦ ← 23
16 → ¦|¦¦¦¦ ← 2
59 → |||¦|| ← 55
56 → |||¦¦¦ ← 7
47 → |¦|||| ← 61
8 → ¦¦|¦¦¦ ← 4
38 → |¦¦||¦ ← 25
48 → ||¦¦¦¦ ← 3
37 → |¦¦|¦| ← 41
1 → ¦¦¦¦¦| ← 32
39 → |¦¦||| ← 57
33 → |¦¦¦¦|
30 → ¦||||¦
18 → ¦|¦¦|¦
45 → |¦||¦|
14 → ¦¦|||¦ ← 28
15 → ¦¦|||| ← 60
5 → ¦¦¦|¦| ← 40
43 → |¦|¦|| ← 53
10 → ¦¦|¦|¦ ← 20
49 → ||¦¦¦| ← 35
62 → |||||¦ ← 31
6 → ¦¦¦||¦ ← 24
22 → ¦|¦||¦ ← 26
46 → |¦|||¦ ← 29
36 → |¦¦|¦¦ ← 9
11 → ¦¦|¦|| ← 52
44 → |¦||¦¦ ← 13
27 → ¦||¦|| ← 54
19 → ¦|¦¦|| ← 50
51 → ||¦¦||
12 → ¦¦||¦¦
42 → |¦|¦|¦ ← 21
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